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Finding the Fourth Proportional to 7,643.87, 10,549.14 and 4,287.43

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Solution

The fourth proportional to 7,643.87, 10,549.14 and 4,287.43 is: 5,916.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.87 : 10,549.14 = 4,287.43 : x
  2. Step 2: Convert to fraction form
    7,643.87/10,549.14 = 4,287.43/x
  3. Step 3: Cross multiply
    7,643.87x = 10,549.14 × 4,287.43
  4. Step 4: Simplify right side
    7,643.87x = 45,228,696.42
  5. Step 5: Solve for x
    x = 45,228,696.42/7,643.87
  6. Step 6: Final answer
    x = 5,916.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.